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Let 1+x + x? (1 – 3x)(1+ 2x) (1 – x)3 - be an ordinary generating function for a sequence (fn)n20- Give an estimate of fn of the form fn = O(g(n)) for a simple function g(n).

Let 1+x + x? (1 – 3x)(1+ 2x) (1 – x)3 - be an ordinary generating function for a sequence (fn)n20- Give an estimate of fn of the form fn = O(g(n)) for a simple function g(n).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(c) Let 1+ x + x2 (1 — За) (1 + 2л)2 (1 — г)3 be an ordinary generating function for a sequence (fn)n20- Give an estimate of fn of the form fn = 0(g(n)) for a simple function g(n). Hint: The sequence (fn)n>o satisfies a linear recurrence with constant coefficients. Answer: fn = 0(. O(.. )
Transcribed Image Text:(c) Let 1+ x + x2 (1 — За) (1 + 2л)2 (1 — г)3 be an ordinary generating function for a sequence (fn)n20- Give an estimate of fn of the form fn = 0(g(n)) for a simple function g(n). Hint: The sequence (fn)n>o satisfies a linear recurrence with constant coefficients. Answer: fn = 0(. O(.. )
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